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Finding the Third Proportional to 11,274.89 and 24,471.14

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Solution

The third proportional to 11,274.89 and 24,471.14 is: 53,112.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,274.89 : 24,471.14 = 24,471.14 : x
  2. Step 2: Convert to fraction form
    11,274.89/24,471.14 = 24,471.14/x
  3. Step 3: Cross multiply
    11,274.89x = 24,471.14 × 24,471.14
  4. Step 4: Simplify right side
    11,274.89x = 598,836,723.49
  5. Step 5: Solve for x
    x = 598,836,723.49/11,274.89
  6. Step 6: Final answer
    x = 53,112.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.